73712160 has 192 divisors, whose sum is σ = 261999360. Its totient is φ = 19353600.

The previous prime is 73712159. The next prime is 73712173. The reversal of 73712160 is 6121737.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488085 + ... + 488235.

It is an arithmetic number, because the mean of its divisors is an integer number (1364580).

Almost surely, 2^73712160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130999680).

73712160 is an abundant number, since it is smaller than the sum of its proper divisors (188287200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73712160 is a wasteful number, since it uses less digits than its factorization.

73712160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 73712160 is about 8585.5786060114. The cubic root of 73712160 is about 419.2885915942.

Adding to 73712160 its reverse (6121737), we get a palindrome (79833897).

The spelling of 73712160 in words is "seventy-three million, seven hundred twelve thousand, one hundred sixty".